Question
On multiplying _________ by $2^{-5}$ we get $2^5$.
✓
Answer
On multiplying $2^{10}$ by $2^{-5}$ we get $2^5$.
Solution:
Let $x$ be multiplied by $2^{-5}$ we get $2^5$.
So, $x × 2^{-5}= 2^5$
$\Rightarrow\text{x}\times\frac{1}{2^5}=2^5\ \Big[\because\text{a}^{-\text{m}}=\frac{1}{\text{a}^{-\text{m}}}\Big]$ $\therefore$ $\text{x}=2^5\times2^5=(2)^{5+5}=2^{10}$ [$\because$ $a^m× a^n= (a)^{m+n}$]
Solution:
Let $x$ be multiplied by $2^{-5}$ we get $2^5$.
So, $x × 2^{-5}= 2^5$
$\Rightarrow\text{x}\times\frac{1}{2^5}=2^5\ \Big[\because\text{a}^{-\text{m}}=\frac{1}{\text{a}^{-\text{m}}}\Big]$ $\therefore$ $\text{x}=2^5\times2^5=(2)^{5+5}=2^{10}$ [$\because$ $a^m× a^n= (a)^{m+n}$]
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